How do you evaluate 1 13/15 + 4 11/15?

2 Answers
Jul 24, 2016

6 9/15

Explanation:

Split it:

Whole numbers: color(blue)(1+4=5)

,~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~.
The fractions both have the same bottom number (denominator).
Consequently you can directly add the top numbers (numerators)

Fractions: 13/15+11/15 " "->" "(13+11)/15= 24/15

But 24/15" is the same as " 15/15+9/15

and 15/15=1" giving "color(blue)(13/15+11/15= 1+9/15)
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
color(green)("Putting it all together")

5+1+9/15 = 6 9/15

Jul 24, 2016

6 3/5

Explanation:

1 13/15+4 11/15

=(15(1)+13)/15+(15(4)+11)/15

=(15+13)/15+(60+11)/15

=28/15+71/15

=99/15
Dividing numerator and denominator by 3 since 3/3=1
we get
(99/3)/(15/3)

=33/5
6 3/5